UCAT Quantitative Reasoning 6

Question 1

A table shows: Treatment A, B, C with costs £200, £350, £150 and success rates 70%, 85%, 60%. Which has the best cost per percentage point of success?

Accepted Answer

Treatment A at £2.86 per percentage point

Answer

Treatment B at £4.12 per percentage point

Answer

Treatment C at £2.50 per percentage point

Answer

Treatment B has best absolute success rate

Question 2

A mortality rate is expressed as 15 per 1,000. In a population of 45,000, how many deaths are expected?

Accepted Answer

675

Answer

1,500

Answer

450

Answer

300

Question 3

An odds ratio (OR) of 0.4 for a protective intervention means:

Accepted Answer

The odds of disease are 60% lower in the treated group

Answer

The intervention is harmful

Answer

The intervention is not statistically significant

Answer

40% of patients benefit

Question 4

A chart shows that 40% of hospital admissions are aged 65+. The over-65 population is 18% of the total. What does this suggest?

Accepted Answer

Older people are disproportionately represented in hospital admissions

Answer

Younger people avoid hospital

Answer

18% of people are very ill

Answer

The data contains errors

Question 5

Data shows: GP consultations per patient per year: England mean = 5.1, median = 3. What does this distribution suggest?

Accepted Answer

A small number of patients have very high consultation rates, skewing the mean upward

Answer

Data was collected incorrectly

Answer

Most patients consult 5 times a year

Answer

The median is a better measure of central tendency here, and the mean equals the median

Question 6

A drug reduces LDL cholesterol by 1.2 mmol/L on average (95% CI: 0.9 to 1.5). Another drug reduces it by 0.8 mmol/L (95% CI: 0.5 to 1.1). Do the intervals overlap?

Accepted Answer

Yes — between 0.9 and 1.1, both CIs overlap

Answer

No — the intervals are completely separate

Answer

Only partially, at exactly 1.0

Answer

They overlap only at their means

A table shows: Treatment A, B, C with costs £200, £350, £150 and success rates 70%, 85%, 60%.Which has the best cost per percentage point of success?

A table shows: Treatment A, B, C with costs £200, £350, £150 and success rates 70%, 85%, 60%.
Which has the best cost per percentage point of success?